Which way are you facing now, if you spin $270$ degrees clockwise from North at the beginning?

Let's consider the standard directions where North is at $0^{\circ }$ ($360^{\circ }$):
* Rotating $90^{\circ }$ clockwise from North leads to East.
* Rotating $180^{\circ }$ clockwise from North leads to South.
* Rotating $270^{\circ }$ clockwise from North leads to West.

Alternatively, rotating $270^{\circ }$ clockwise is equivalent to rotating $360^{\circ }-270^{\circ }=90^{\circ }$ counter-clockwise. $90^{\circ }$ counter-clockwise from North is West.